ON DIRICHLET TYPE SPACES AND -BLOCH SPACES IN THE UNIT BALL OF Cn

数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (4): 645-654.

ON DIRICHLET TYPE SPACES AND -BLOCH SPACES IN THE UNIT BALL OF Cn

李波, 欧阳才衡

Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

出版日期:2004-10-20 发布日期:2004-10-20
基金资助:
The research is supported by NNSF of China(10271117)

ON DIRICHLET TYPE SPACES AND -BLOCH SPACES IN THE UNIT BALL OF Cn

LI Bo, OU Yang-Cai-Heng

Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

Online:2004-10-20 Published:2004-10-20
Supported by:
The research is supported by NNSF of China(10271117)

摘要/Abstract

摘要：

In this paper, the authors study the inclusion relations between Dirichlet type spaces D and -Bloch spaces by means of higher radial derivative. The strictness and the best possibility of the inclusion relations are shown with constructive methods. Furthermore, they sharpen one of the results when = n, which proves that a conjecture in [7] is true.

关键词: Dirichlet type spaces, -Bloch spaces, inclusion relations

Abstract:

Key words: Dirichlet type spaces, -Bloch spaces, inclusion relations

中图分类号:

32A37

李波, 欧阳才衡. ON DIRICHLET TYPE SPACES AND -BLOCH SPACES IN THE UNIT BALL OF Cn[J]. 数学物理学报(英文版), 2004, 24(4): 645-654.

LI Bo, OU Yang-Cai-Heng. ON DIRICHLET TYPE SPACES AND -BLOCH SPACES IN THE UNIT BALL OF Cn[J]. Acta mathematica scientia,Series B, 2004, 24(4): 645-654.

参考文献

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ON DIRICHLET TYPE SPACES AND -BLOCH SPACES IN THE UNIT BALL OF Cn

ON DIRICHLET TYPE SPACES AND -BLOCH SPACES IN THE UNIT BALL OF Cn

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